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JEE Main 2024 (8 Apr, Shift 1) · Angular Variables

Angular Variables question from JEE Main 2024 (8 Apr, Shift 1)

Q18JEE Main 2024 · 8 APR · SHIFT 1Medium

Angular Variables

A clock has 75 cm,60 cm75\text{ cm}, 60\text{ cm} long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel xx distance more than the tip of minute hand. The value of xx in meter is nearly (Take π=3.14\pi = 3.14):

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Answer: (c)

  1. In 30 min the second hand makes 30 revolutions: s1=30×2π(0.75)=45πs_1 = 30 \times 2\pi(0.75) = 45\pi m.
  2. The minute hand makes half a revolution: s2=π(0.60)=0.6πs_2 = \pi(0.60) = 0.6\pi m.
  3. x=s1−s2=44.4π=44.4×3.14≈139.4x = s_1 - s_2 = 44.4\pi = 44.4 \times 3.14 \approx 139.4 m.
  4. So the answer is (c) 139.4.
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